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Q. 3

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 736

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Short Answer

a. Suppose that throughout some region of space. Can you conclude that in this region? Explain.

b. Suppose that throughout some region of space. Can you conclude that in this region? Explain.

(a) No, is not necessarily .

(b) Yes, is zero

See the step by step solution

Step by Step Solution

Step 1 : Given information and formula used  

Given :

a.

b.

Theory used :

In the region of constant electric potential, electric field is zero so there is no charge inside the region.

Electric field is the negative slope (“derivative” or “gradient”) of the potential.

Step 2 : Determining if  in this region 

a) No.

However, you can deduce that , implying that the potential in that region of space is constant.

Step 3 : Determining if 

(b) The answer is yes.

Because , when is constant in a region of space, .

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